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1002345023401 is a prime number
BaseRepresentation
bin11101001011000000110…
…10110100011110101001
310112211020010222221211121
432211200122310132221
5112410300311222101
62044245420255241
7132263021056651
oct16454032643651
93484203887747
101002345023401
113571016a8767
121423173a1521
13736a0075b57
1436729a75361
151b11757d0a1
hexe9606b47a9

1002345023401 has 2 divisors, whose sum is σ = 1002345023402. Its totient is φ = 1002345023400.

The previous prime is 1002345023399. The next prime is 1002345023417. The reversal of 1002345023401 is 1043205432001.

1002345023401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 846022842025 + 156322181376 = 919795^2 + 395376^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002345023401 - 21 = 1002345023399 is a prime.

Together with 1002345023399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1002345023441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501172511700 + 501172511701.

It is an arithmetic number, because the mean of its divisors is an integer number (501172511701).

Almost surely, 21002345023401 is an apocalyptic number.

It is an amenable number.

1002345023401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002345023401 is an equidigital number, since it uses as much as digits as its factorization.

1002345023401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 1002345023401 in words is "one trillion, two billion, three hundred forty-five million, twenty-three thousand, four hundred one".